Problems, Problems


What is the following number in the sequence 1, 2, 5, 26, 676,…?

ZOE , 7th Grade


 

Consider a rectangle ABCD with CD = 8 and BC = 5.  Extend side AB past A to a point E so that ED = 9.  Choose a point F on AB so that BF = 3.  What is the area and perimeter of the irregular shape EFBCD?

MECKY , 7th Grade


 

What is the next number in the sequence 105, 5´104, 25´103,…?

JELANI , 7th Grade


 

If you roll three black dice and three white dice, what is the chance of getting three different numbers in black/white pairs?

JACOB BRODSKY, 7th Grade


 

How many different numbers can you make with the digits 2, 4, 4 and 7?

JOHN  and JAMES , 7th Grade


 

A stove can boil a litre of water every ten minutes.  Using two stoves, how long will it take to boil thirty litres of water?  

LUKAS , 7th Grade



Alexa starts running at seven miles per hour but she get tired and slows down at a constant rate, so that by the end of the first hour she is running one mile per hour less than at the beginning.  How long will it take Alexa to run eight miles?

ZOE , 7th Grade


 

Two people are 1,000 miles apart and they start driving towards each other at the same time.  The first person is driving at 50 mph while the second person is driving at 30 mph.  At what mile will the meet?  

OLIVER , 7th Grade


 

The hypotenuse of a right-angle triangle is equal to
and another side of the same triangle is equal to 
5

 What is the third side of this triangle?  

LILLY , 7th Grade


 

If I have one quarter, five dimes, four pennies and two nickels, and I randomly pick five of these coins, what is the probability that the amount of money I pick is even?  

SHAIA , 7th Grade


 

You begin a long journey at 5 mph and you accelerate every hour by 1 mph.  It takes you 16.5 days of continuous travelling to complete your journey.  How far have you travelled?

HARRY , 7th Grade


 

If Joey takes 30 minutes to bake a cake while Sam takes only 20 minutes, how long will it take the two of them to prepare 1,000 cakes?

ROMILLY , 7th Grade